1007799147664 has 45 divisors (see below), whose sum is σ = 1970930915499. Its totient is φ = 499215413760.

The previous prime is 1007799147643. The next prime is 1007799147673. The reversal of 1007799147664 is 4667419977001.

The square root of 1007799147664 is 1003892.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 206788467600 + 801010680064 = 454740^2 + 894992^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 453758074 + ... + 453760294.

Almost surely, 2^{1007799147664} is an apocalyptic number.

1007799147664 is the 1003892-nd square number.

It is an amenable number.

1007799147664 is a deficient number, since it is larger than the sum of its proper divisors (963131767835).

1007799147664 is an frugal number, since it uses more digits than its factorization.

1007799147664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4676 (or 2336 counting only the distinct ones).

The product of its (nonzero) digits is 16003008, while the sum is 61.

The spelling of 1007799147664 in words is "one trillion, seven billion, seven hundred ninety-nine million, one hundred forty-seven thousand, six hundred sixty-four".